Well.. if I can throw in another interpretation of that cliche; it could also be a way of indicting Calvinists who have an elitist, prideful attitude because they "know" the truth, which I've heard many Arminian brothers and sisters accuse us of. Unfortunately I can't say it's not entirely true, Calvinists are guilty of it, but so are Arminians.
Nevertheless, I don't think a Calvinist nor Arminian can confuse "love your neighbor as yourself" in terms of living like a Christian and producing fruits of the Holy Spirit. Many Arminians will never understand God's complete sovereignty and character, but obedience to the way God instructed us to live does not change regardless of how you believe Christ saves sinners.
However, living like a Calvinist is living biblically. Calvinism is the balanced view, so to equate living like an Arminian to having a balanced view of human responsibility is erred.